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Finding the Fourth Proportional to 6,411.17, 9,609.47 and 2,711.09

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Solution

The fourth proportional to 6,411.17, 9,609.47 and 2,711.09 is: 4,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.17 : 9,609.47 = 2,711.09 : x
  2. Step 2: Convert to fraction form
    6,411.17/9,609.47 = 2,711.09/x
  3. Step 3: Cross multiply
    6,411.17x = 9,609.47 × 2,711.09
  4. Step 4: Simplify right side
    6,411.17x = 26,052,158.66
  5. Step 5: Solve for x
    x = 26,052,158.66/6,411.17
  6. Step 6: Final answer
    x = 4,063.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.